(en) We describe how Pearson’s 2-test can be used as a natural complement to Welch’s t-test for black box leakage detection. In particular, we show that by using these two tests in combination, we can mitigate some of the limitations due to the moment-based nature of existing detection techniques based on Welch’s t-test (e.g., for the evaluation of higher-order masked implementations with insufficient noise). We also show that Pearson’s 2-test is naturally suited to analyze threshold implementations with information lying in multiple statistical moments, and can be easily extended to a distinguisher for key recovery attacks. As a result, we believe the proposed test and methodology are interesting complementary ingredients of the side-channel evaluation toolbox, for black box leakage detection and non-profiled attacks, and as a preliminary before more demanding advanced analyses."
Moradi, A., Richter, B., Schneider, T., & Standaert, F.-X. (2018). Leakage detection with the X²-Test. IACR Transactions on Cryptographic Hardware and Embedded Systems, 2018(1), 209-237. https://doi.org/10.13154/tches.v2018.i1.209-237 (Original work published 2018)